19 men can complete a work in 23 days. If 23 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = M2 * 6. M2 = 96 / 6 = 16 men. Extra men required = 16 - 12 = 4.

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Efficiency of A = (A+B+C) - (B+C) = 6 - 4 = 2 units/day. Time taken by A alone = 60 / 2 = 30 days.

Explanation:
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.